Unit Rate Calculator

| Share
Unit Rates
quantity units or items    
= ?
Answer:
= 12 miles per hour

Work

Note, this is a fraction equal to
30 miles ÷ 2.5 hours

We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2.5.

30 miles ÷ 2.5
2.5 hours ÷ 2.5

= 12 miles
1 hour

= 12 miles
hour

= 12 miles per hour


Calculator Use

Use this calculator to find the unit rate. A rate is a ratio comparing 2 quantities of different kinds of units. A unit rate is a rate with 1 in the denominator. If a rate is given and the quantity in the denominator is not 1, unit rate is calculated by finding an equal ratio such that the denominator is 1.  Stated differently, complete the division operation of the fraction or ratio.

Examples of how to find unit rates or unit prices

  • Ryan purchase 3 apples for $1.80. At this rate, what is the cost of one apple? (the unit cost)
    • We want to know the price per unit apple so we set up our ratio with apples in the denominator. We have our rate of 1.80 dollars per 3 apples = 1.80/3 = 1.80 ÷ 3 = 0.60.  So Ryan paid a unit price of $0.60 per apple.
    • Further, converting 1.80 dollars to cents we want 1.80 dollars times 100 cents per dollar. So, 1.80 dollars x 100 cents / dollar = 180 cents.  180 cents/3 apples = 60 cents per apple.
  • The pottery store can make 176 coffee mugs in an 8 hour day.  How many mugs can they make in one hour?
    • We want to know the price per unit hour so we set up our ratio with hours in the denominator. We have our rate of 176 mugs per 8 hours = 176/8 = 176 ÷ 8 = 22.  So the pottery store makes 22 mugs per hour. (22 mugs / 1 hour)
  • Kyle can run 12 laps in 30 minutes.  How many laps does he run per minute?
    • We want to know the laps per unit minute so we set up our ratio with minutes in the denominator. We have our rate of 12 laps per 30 minutes = 12/30 = 12 ÷ 30 = 0.4.  So the Kyle runs 0.4 laps per minute. (0.4 laps / 1 minute)

Further Reading

Rate Lesson at Brain Camp

 

 

Cite this content, page or calculator as:

Furey, Edward "Unit Rate Calculator" From http://www.CalculatorSoup.com - Online Calculator Resource.